When installing a Red Carpet for the Oscars, workers found that if they push the carpet roll (image included) in the direction to unroll, it will keep unrolling by itself. However, if they push it to roll it up, it will move some distance and then stop. Why is this happening if the surface is flat and the friction is negligible? Calculate the distance the roll will move if it is initially given a push of velocity v0 =1 m/s to roll it up. The carpet is 1 in thick, 60 m long and half-rolled up prior to being pushed. (Hint: use energy conservation.)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
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When installing a Red Carpet for the Oscars, workers found that if they push the carpet roll (image included) in the direction to unroll, it will keep unrolling by itself. However, if they push it to roll it up, it will move some distance and then stop. Why is this happening if the surface is flat and the friction is negligible? Calculate the distance the roll will move if it is initially given a push of velocity v0 =1 m/s to roll it up. The carpet is 1 in thick, 60 m long and half-rolled up prior to being pushed. (Hint: use energy conservation.)

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